1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
3 years ago
11

Re-write the quadratic function below in Standard Form y = -(x – 3)2 +8

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

y = -x² + 6x - 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Expanding by FOIL (First Inside Outside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define equation</u>

y = -(x - 3)² + 8

<u>Step 2: Rewrite</u>

  1. Expand [FOIL]:                    y = -(x² - 6x + 9) + 8
  2. Distribute -1:                        y = -x² + 6x - 9 + 8
  3. Combine like terms:           y = -x² + 6x - 1
You might be interested in
66 dived by 4 is 426
trasher [3.6K]

Yes, that is correct.

8 0
3 years ago
Read 2 more answers
How do you solve this
PilotLPTM [1.2K]
Pretty sure it’s -8
6 0
3 years ago
Anyone ...? <br> asap.....
My name is Ann [436]

Answer:

The last one 8512

Step-by-step explanation:

5×10÷5+2168

4 0
3 years ago
Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0
3 years ago
What number goes in the box?<br> 2 ^ ( ) = (2^7 ÷ 2^9)^3
navik [9.2K]

Answer:

x=-6

Step-by-step explanation:

(\frac{2^{7}}{2^{9}})^{3} \\(\frac{128}{512})^{3} \\(\frac{1}{4})^{3}\\(\frac{1}{4})*(\frac{1}{4})*(\frac{1}{4})\\\frac{1*1*1}{4*4*4} \\\frac{1^{3} }{4^{3} } \\\frac{1}{64} \\2^{x}=\frac{1}{64}\\log 2^x=log\frac{1}{64}\\x*(log(2))=log\frac{1}{64}\\x=\frac{log\frac{1}{64}}{log(2)} \\x=-6

4 0
3 years ago
Other questions:
  • A set of shelves fits an attic room with one sloping wall. the left edges of the shelves line up vertically, and the right edges
    12·1 answer
  • How do you solve -2/5+3 1/10 ?
    8·1 answer
  • Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine
    7·2 answers
  • So i'm confused.
    11·1 answer
  • 3 1/3 -2 2/5 <br> Subtract
    14·2 answers
  • A markdown less than 1%
    8·1 answer
  • Break the dividend into smaller parts that are easier to divide write the equivalent name you used.
    7·1 answer
  • What is the area of 1 section of this circle?
    10·1 answer
  • Factorise fully 6x+15x²
    9·2 answers
  • Please helppppppppppp​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!